The 34-year-old defender has been ever-present by Gerrard’s side since the pair made their debuts in 1997 and 1998, going on to win the FA Cup twice, the League Cup on three occasions and lifting the Champions League together in 2005.
With Gerrard set to make his 600th appearance for the Reds in their clash against Newcastle United on Sunday, Carragher believes the midfielder’s performances in largely average Liverpool sides over the past 15 seasons eclipses Dalglish’s feats.
“I would probably say yes, he is, because this is more my time,” Carragher told Liverpool’s website.
“I can’t remember Kenny, or people also talk about Billy Liddell. I’ve seen a little bit of Kenny on DVD and videos. Souness, Barnes, Ian Rush – there are all these great players.
“Obviously Kenny has won a lot more than Steven, but I just think about his performances in those two cup finals. For me, that just takes it to another level.
“He hasn’t been fortunate enough to play in what you’d call one of the absolutely great Liverpool sides that we’ve had in the past, and that just adds to what he’s done. So for me, yes, I’ll go with Stevie.”
Carragher has made 709 appearances for Liverpool – topped only by Ian Callaghan on 856 – but the centre-half expects Gerrard to surpass his tally over the coming seasons.
“It depends when we both finish playing, but I expect so,” he added.
“When Stevie gets to my position – and I don’t know if he’ll want to be in the position I’ve been in for the last six to 12 months because I’ve been on the bench a lot – he will still always come on.
“As a centre-back you don’t come off the bench unless there are strange circumstances. I would image he’ll play more games, and listen, he’s been a better player than me for Liverpool so he thoroughly deserves that.”
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